ON PERIODIC ORBITS OF 3D SYMMETRIC PIECEWISE LINEAR SYSTEMS WITH REAL TRIPLE EIGENVALUES

Enrique Ponce, Javier Ros

Type: Article

Publication Date: 2009-07-01

Citations: 7

DOI: https://doi.org/10.1142/s0218127409024165

View Publication

Locations

International Journal of Bifurcation and Chaos - View

Similar Works

Action	Title	Year	Authors
+	Hopf-Like Bifurcations and Asymptotic Stability in a Class of 3D Piecewise Linear Systems with Applications	2021	Rony Cristiano Durval J. Tonon Mariana Queiroz Velter
+	Periodic Orbit Bifurcations in Planar Hysteretic Systems without Equilibria	2020	Marina Esteban Enrique Ponce Francisco Torres
+	Sliding homoclinic orbits and bifurcations of three-dimensional piecewise affine systems	2023	Tiantian Wu Song-Mei Huan Xiaojuan Liu
+	Existence of periodic orbits and chaos in a class of three-dimensional piecewise linear systems with two virtual stable node-foci	2021	Zhouchao Wei Bin Zhu R. J. Escalante-González
+	On the existence of homoclinic orbits in some class of three-dimensional piecewise affine systems	2018	Yanli Chen Tiantian Wu Xiao‐Song Yang
+	HORSESHOES NEAR HOMOCLINIC ORBITS FOR PIECEWISE LINEAR DIFFERENTIAL SYSTEMS IN ℝ<sup>3</sup>	2007	Jaume Llibre Enrique Ponce Antonio E. Teruel
+ PDF Chat	Algebraic determination of limit cycles in a family of three-dimensional piecewise linear differential systems	2011	Jaume Llibre Enrique Ponce Javier Ros
+	On the fold-Hopf bifurcation for continuous piecewise linear differential systems with symmetry	2010	Jaume Llibre Enrique Ponce Javier Ros Francisco Torres
+	The existence and stability analyses of periodic orbits in 3-dimensional piecewise affine systems	2017	Lei Wang Xiao‐Song Yang
+	Symmetry Breaking of Periodic Orbits in Control Systems: A Harmonic Balance Approach	1998	Baltazar Aguirre José Álvarez‐Ramírez Rodolfo Suárez
+	SOME RESULTS ON CHUA'S EQUATION NEAR A TRIPLE-ZERO LINEAR DEGENERACY	2003	Antonio Algaba Manuel Merino E. Freire E. Gamero Alejandro J. Rodríguez-Luis
+	The FCLC Bifurcation in 3D Symmetric Continuous Piecewise Linear Systems	2022	Enrique Ponce Javier Ros Elísabet Vela
+ PDF Chat	Reversible periodic orbits in a class of 3D continuous piecewise linear systems of differential equations	2012	Victoriano Carmona Soledad Fernández-García Fernando Fernández-Sánchez Elisabeth García-Medina Antonio E. Teruel
+	Chaotic dynamics of three-dimensional piecewise linear systems with sliding heteroclinic cycles	2025	Zhe Zhao T. S. Wu
+	Multi-parametric bifurcations in a piecewise–linear discontinuous map	2006	Виктор Аврутин Michael Schanz Soumitro Banerjee
+	FIRST HARMONIC ANALYSIS OF PLANAR LINEAR SYSTEMS WITH SINGLE SATURATED FEEDBACK	1996	Rodolfo Suárez José Álvarez‐Ramírez Baltazar Aguirre
+ PDF Chat	Hopf bifurcation at infinity in 3D symmetric piecewise linear systems. Application to a Bonhoeffer–van der Pol oscillator	2020	E. Freire Enrique Ponce Javier Ros Elísabet Vela Andrés Amador
+	Estimation of the region of attraction of the origin of closed - loop linear systems with saturated linear controllers: a first harmonic approach	2000	Baltazar Aguirre‐Hernández José Álvarez‐Ramírez Rodolfo Suárez
+	The pseudo-Hopf bifurcation and derived attractors in 3D Filippov linear systems with a Teixeira singularity	2020	Juan Castillo
+	Existence of periodic orbits in three-dimensional piecewise linear systems	2010	Song-Mei Huan Xiao‐Song Yang

Works That Cite This (6)

Action	Title	Year	Authors
+ PDF Chat	Algebraic determination of limit cycles in a family of three-dimensional piecewise linear differential systems	2011	Jaume Llibre Enrique Ponce Javier Ros
+	Periodic Orbit Bifurcations in Planar Hysteretic Systems without Equilibria	2020	Marina Esteban Enrique Ponce Francisco Torres
+	On the fold-Hopf bifurcation for continuous piecewise linear differential systems with symmetry	2010	Jaume Llibre Enrique Ponce Javier Ros Francisco Torres
+	Unfolding the fold-Hopf bifurcation in piecewise linear continuous differential systems with symmetry	2013	Enrique Ponce Javier Ros Elísabet Vela
+	Preliminary Results	2022	Enrique Ponce Javier Ros Elísabet Vela
+ PDF Chat	Nonexistence and Uniqueness of Limit Cycles in a Class of Three-Dimensional Piecewise Linear Differential Systems	2023	Ting Chen Lihong Huang Jaume Llibre

Works Cited by This (6)

Action	Title	Year	Authors
+	Frequency Methods in Oscillation Theory	1996	Г. А. Леонов И. М. Буркин A. I. Shepeljavyi
+	Global first harmonic bifurcation diagram for odd piecewise linear control systems	1996	Jaume Llibre Enrique Ponce
+	Existence of periodic orbits of stable saturated systems	2003	Isai Moreno Rodolfo Suárez
+	A BIPARAMETRIC BIFURCATION IN 3D CONTINUOUS PIECEWISE LINEAR SYSTEMS WITH TWO ZONES: APPLICATION TO CHUA'S CIRCUIT	2007	E. Freire Enrique Ponce Javier Ros
+	First Harmonic Analysis of Linear Control Systems with High-Gain Saturating Feedback	1997	Baltazar Aguirre José Álvarez‐Ramírez Guillermo A. Fernández Rodolfo Suárez
+	LIMIT CYCLE BIFURCATION IN 3D CONTINUOUS PIECEWISE LINEAR SYSTEMS WITH TWO ZONES: APPLICATION TO CHUA'S CIRCUIT	2005	Victoriano Carmona E. Freire Enrique Ponce Javier Ros Francisco Torres